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   "source": [
    "# 第二次作业第7题\n",
    "作者：赵飞\n",
    "学号：202018019427078\n",
    "日期：2021-04-26"
   ],
   "cell_type": "markdown",
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  {
   "cell_type": "code",
   "execution_count": 19,
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 生成随机变量\n",
    "X = stats.gamma(1.0)   # 服从参数为1的伽马分布随机变量\n",
    "x = X.rvs(size=1000)\n",
    "# 绘制直方图\n",
    "dummy1, xbins, dummy2 = plt.hist(x, bins=100, density=True, label=\"histogram\")\n",
    "# 绘制概率密度pdf\n",
    "xs = (xbins[:-1]+xbins[1:]) / 2\n",
    "pdf = X.pdf(xs)\n",
    "plt.plot(xs, pdf, label=\"pdf\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ]
}